Numerical study of the two dimensional Heisenberg model by Green Function Monte Carlo at fixed number of walkers

Details Numerical study of the two dimensional Heisenberg model by Green Function Monte Carlo at fixed number of walkers Numerical study of the two dimensional Heisenberg model by Green Function Monte Carlo at fixed number of walkers

1998-02-02

arxiv.org/abs/cond-mat/9802020v1

Physics

Condensed Matter

30 pages, RevTeX + a single file containing all the figures, to appear in Phys. Rev. B

Scientific paper

We describe in detail a simple and efficient Green Function Monte Carlo technique for computing both the ground state energy and the ground state properties by the ``forward walking'' scheme. The simplicity of our reconfiguration process, used to maintain the walker population constant, allows to control any source of systematic error in a rigorous and systematic way. We apply this method to the Heisenberg model and obtain accurate and reliable estimates of the ground state energy, the order parameter and the static spin structure factor S(q) for several momenta. For the latter quantity we also find very good agreement with available experimental data on the La2CuO4 antiferromagnet.

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